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Finding the Third Proportional to 543.19 and 775.88

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Solution

The third proportional to 543.19 and 775.88 is: 1,108.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.19 : 775.88 = 775.88 : x
  2. Step 2: Convert to fraction form
    543.19/775.88 = 775.88/x
  3. Step 3: Cross multiply
    543.19x = 775.88 × 775.88
  4. Step 4: Simplify right side
    543.19x = 601,982.02
  5. Step 5: Solve for x
    x = 601,982.02/543.19
  6. Step 6: Final answer
    x = 1,108.24

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.